Group #14291522 — subgroups

Subgroups — #14291522

Order 1920.

312 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 312 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#494	C₂	1	1	yes	maximal, characteristic
2	#11751195	C₂	1	2	yes	maximal
3	C₈×Dic₃₀	C₂	1	1	yes	maximal, characteristic
4	#11746368	C₂	1	2	yes	maximal
5	#11746279	C₂	1	1	yes	maximal, characteristic
6	#10602101	—	3	1	no	maximal, Hall
7	C₂×C₃×C₅×Q₁₆	—	2	1	no	—
8	C₂×C₃×C₅×Q₁₆	—	2	1	no	—
9	C₃×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
10	C₄×Dic₃₀	C₂²	1	1	yes	characteristic
11	C₃×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
12	#91098	—	2	1	no	—
13	C₈×Dic₁₅	—	2	1	no	—
14	#91094	—	2	2	no	—
15	#91092	—	2	2	no	—
16	C₄⋊(C₃⋊#168)	C₂²	1	2	yes	—
17	C₄⋊(C₃⋊#168)	C₂²	1	1	yes	characteristic
18	#71308	—	5	1	no	maximal, Hall
19	C₅×#494	D₃	1	1	yes	characteristic
20	#65383	—	3	2	no	—
21	C₈×Dic₁₀	—	3	1	no	—
22	#64767	—	3	2	no	—
23	#64678	—	3	1	no	—
24	C₂×C₃×C₅×Q₈	—	2	2	no	—
25	C₂×Dic₃₀	D₄	1	1	yes	characteristic
26	C₃×C₅×Q₁₆	—	4	2	no	—
27	C₃×C₅×Q₁₆	—	4	2	no	—
28	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
29	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
30	C₃×C₅×C₄⋊C₄	—	2	2	no	—
31	C₃×C₅×C₄⋊C₄	—	2	2	no	—
32	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
33	C₄⋊Dic₁₅	D₄	1	1	yes	characteristic
34	#6712	—	2	1	no	—
35	C₄×Dic₁₅	—	2	1	no	—
36	C₂×C₃⋊#168	—	2	2	no	—
37	C₂×C₃⋊#168	—	2	1	no	—
38	C₃×#494	D₅	1	1	yes	characteristic
39	#5094	—	5	2	no	—
40	C₈×Dic₆	—	5	1	no	—
41	#4547	—	5	2	no	—
42	#4458	—	5	1	no	—
43	C₂×C₅×Q₁₆	—	2	1	no	—
44	C₂×C₅×Q₁₆	—	2	1	no	—
45	C₅×C₄⋊Q₈	C₂×D₃	1	2	yes	—
46	C₄×Dic₁₀	—	3	1	no	—
47	C₄×C₅×C₈	C₂×D₃	1	1	yes	characteristic
48	#3946	—	6	1	no	—
49	C₈×Dic₅	—	6	1	no	—
50	#3942	—	6	2	no	—
51	#3940	—	6	2	no	—
52	C₄⋊#168	—	3	2	no	—
53	C₄⋊#168	—	3	1	no	—
54	#1670	—	15	1	no	Sylow
55	C₃×C₅×Q₈	—	4	2	no	—
56	C₃×C₅×Q₈	—	4	2	no	—
57	C₂×C₃×C₄×C₅	—	4	2	no	—
58	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
59	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
60	C₂×C₃×C₄×C₅	#41	1	1	yes	characteristic
61	C₂×Dic₁₅	—	2	1	no	—
62	C₂×Dic₁₅	—	2	1	no	—
63	Dic₃₀	—	2	1	no	—
64	Dic₃₀	Q₁₆	1	2	yes	complemented
65	C₃×C₅×C₈	—	2	1	no	—
66	C₃×C₅×C₈	SD₁₆	1	2	yes	—
67	C₃⋊#168	—	4	2	no	—
68	C₃⋊#168	—	4	1	no	—
69	C₂×C₃×Q₁₆	—	2	1	no	—
70	C₂×C₃×Q₁₆	—	2	1	no	—
71	C₃×C₄⋊Q₈	C₂×D₅	1	2	yes	—
72	C₄×Dic₆	—	5	1	no	—
73	C₃×C₄×C₈	C₂×D₅	1	1	yes	characteristic
74	Dic₃⋊C₈	—	10	1	no	—
75	C₈×Dic₃	—	10	1	no	—
76	#810	—	10	2	no	—
77	#808	—	10	2	no	—
78	C₄⋊(C₃⋊C₈)	—	5	1	no	—
79	C₄⋊(C₃⋊C₈)	—	5	2	no	—
80	C₂×C₅×Q₈	—	2	2	no	—
81	C₂×Dic₁₀	—	3	1	no	—
82	C₅×Q₁₆	—	4	2	no	—
83	C₅×Q₁₆	—	4	2	no	—
84	C₂×C₅×C₈	#67	1	1	yes	characteristic
85	C₂×C₅×C₈	#67	1	1	yes	characteristic
86	C₅×C₄⋊C₄	—	2	2	no	—
87	C₅×C₄⋊C₄	—	2	2	no	—
88	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
89	C₄⋊Dic₅	—	3	1	no	—
90	#683	—	6	1	no	—
91	C₄×Dic₅	—	6	1	no	—
92	C₂×#168	—	6	2	no	—
93	C₂×#168	—	6	1	no	—
94	#494	D₁₅	1	1	yes	characteristic
95	#475	—	15	2	no	—
96	C₈×Q₈	—	15	1	no	—
97	#335	—	15	1	no	—
98	#332	—	15	2	no	—
99	C₂²×C₃×C₅	#121	1	1	yes	characteristic
100	C₃×C₄×C₅	—	2	1	no	—
101	C₃×C₄×C₅	—	8	2	no	—
102	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
103	C₃×C₄×C₅	C₂×Q₁₆	1	1	yes	characteristic
104	C₃×C₄×C₅	#135	1	1	yes	characteristic
105	C₃×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
106	Dic₁₅	—	2	2	no	—
107	Dic₁₅	—	4	1	no	—
108	C₂×C₃×Q₈	—	2	2	no	—
109	C₂×Dic₆	—	5	1	no	—
110	C₃×Q₁₆	—	4	2	no	—
111	C₃×Q₁₆	—	4	2	no	—
112	C₂×C₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
113	C₂×C₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
114	C₃×C₄⋊C₄	—	2	2	no	—
115	C₃×C₄⋊C₄	—	2	2	no	—
116	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
117	C₄⋊Dic₃	—	5	1	no	—
118	Dic₃⋊C₄	—	10	1	no	—
119	C₄×Dic₃	—	10	1	no	—
120	C₂×C₃⋊C₈	—	10	2	no	—
121	C₂×C₃⋊C₈	—	10	1	no	—
122	C₅×Q₈	—	4	2	no	—
123	C₅×Q₈	—	4	2	no	—
124	C₂×C₄×C₅	—	4	2	no	—
125	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
126	C₂×C₄×C₅	#237	1	1	yes	characteristic
127	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
128	C₂×Dic₅	—	6	1	no	—
129	C₂×Dic₅	—	6	1	no	—
130	Dic₁₀	—	3	2	no	—
131	Dic₁₀	—	6	1	no	—
132	C₅×C₈	—	2	1	no	—
133	C₅×C₈	#214	1	2	yes	—
134	#168	—	12	2	no	—
135	#168	—	12	1	no	—
136	C₂×Q₁₆	—	2	1	no	—
137	C₂×Q₁₆	—	2	1	no	—
138	C₄⋊Q₈	C₂×D₁₅	1	2	yes	—
139	C₄×Q₈	—	15	1	no	—
140	#106	—	30	2	no	—
141	C₄⋊C₈	—	15	1	no	—
142	C₄⋊C₈	—	15	2	no	—
143	C₄⋊C₈	—	30	1	no	—
144	#103	—	30	2	no	—
145	C₄×C₈	—	30	1	no	—
146	C₄×C₈	C₂×D₁₅	1	1	yes	characteristic
147	C₂×C₃×C₅	#460	1	1	yes	characteristic
148	C₂×C₃×C₅	#467	1	1	yes	characteristic
149	C₂×C₃×C₅	#473	1	1	yes	characteristic
150	C₃×Q₈	—	4	2	no	—
151	C₃×Q₈	—	4	2	no	—
152	C₂×C₃×C₄	—	4	2	no	—
153	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
154	C₂×C₃×C₄	#711	1	1	yes	characteristic
155	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
156	C₂×Dic₃	—	10	1	no	—
157	C₂×Dic₃	—	10	1	no	—
158	Dic₆	—	5	2	no	—
159	Dic₆	—	10	1	no	—
160	C₃×C₈	—	2	1	no	—
161	C₃×C₈	#687	1	2	yes	—
162	C₃⋊C₈	—	20	2	no	—
163	C₃⋊C₈	—	20	1	no	—
164	C₂²×C₅	#938	1	1	yes	characteristic
165	C₄×C₅	—	2	1	no	—
166	C₄×C₅	—	8	2	no	—
167	C₄×C₅	D₃×Q₁₆	1	1	yes	characteristic
168	C₄×C₅	#919	1	1	yes	characteristic
169	C₄×C₅	#932	1	1	yes	characteristic
170	C₄×C₅	C₂×#214	1	1	yes	characteristic
171	Dic₅	—	6	2	no	—
172	Dic₅	—	12	1	no	—
173	C₂×Q₈	—	2	2	no	—
174	C₂×Q₈	—	15	1	no	—
175	Q₁₆	—	4	2	no	—
176	Q₁₆	—	4	2	no	—
177	C₂×C₈	—	30	2	no	—
178	C₂×C₈	—	30	1	no	—
179	C₂×C₈	#1220	1	1	yes	characteristic
180	C₂×C₈	#1220	1	1	yes	characteristic
181	C₄⋊C₄	—	2	2	no	—
182	C₄⋊C₄	—	2	2	no	—
183	C₄⋊C₄	—	15	1	no	—
184	C₄⋊C₄	—	30	1	no	—
185	C₄²	—	30	1	no	—
186	C₄²	C₂²×D₁₅	1	1	yes	characteristic
187	C₃×C₅	#1670	1	1	yes	characteristic, complemented, Hall
188	C₂²×C₃	#4084	1	1	yes	characteristic
189	C₃×C₄	—	2	1	no	—
190	C₃×C₄	—	8	2	no	—
191	C₃×C₄	D₅×Q₁₆	1	1	yes	characteristic
192	C₃×C₄	#4065	1	1	yes	characteristic
193	C₃×C₄	#4078	1	1	yes	characteristic
194	C₃×C₄	C₂×#687	1	1	yes	characteristic
195	Dic₃	—	10	2	no	—
196	Dic₃	—	20	1	no	—
197	C₂×C₅	#5075	1	1	yes	characteristic
198	C₂×C₅	#5188	1	1	yes	characteristic
199	C₂×C₅	#5192	1	1	yes	characteristic
200	Q₈	—	4	2	no	—
201	Q₈	—	4	2	no	—
202	Q₈	—	15	2	no	—
203	Q₈	—	30	1	no	—
204	C₂×C₄	—	4	2	no	—
205	C₂×C₄	—	30	1	no	—
206	C₂×C₄	—	30	1	no	—
207	C₂×C₄	D₄×D₁₅	1	1	yes	characteristic
208	C₂×C₄	#6819	1	1	yes	characteristic
209	C₂×C₄	C₂×#1220	1	1	yes	characteristic
210	C₈	—	2	1	no	—
211	C₈	—	60	2	no	—
212	C₈	—	60	1	no	—
213	C₈	#6716	1	2	yes	—
214	C₂×C₃	#65364	1	1	yes	characteristic
215	C₂×C₃	#65477	1	1	yes	characteristic
216	C₂×C₃	#65481	1	1	yes	characteristic
217	C₅	#71308	1	1	yes	characteristic, complemented, Sylow
218	C₂²	#91827	1	1	yes	characteristic
219	C₄	—	2	1	no	—
220	C₄	—	8	2	no	—
221	C₄	—	30	2	no	—
222	C₄	—	60	1	no	—
223	C₄	Q₁₆×D₁₅	1	1	yes	characteristic
224	C₄	#91808	1	1	yes	characteristic
225	C₄	#91821	1	1	yes	characteristic
226	C₄	C₂×#6716	1	1	yes	characteristic
227	C₃	#10602101	1	1	yes	characteristic, complemented, Sylow
228	C₂	#11751176	1	1	yes	characteristic
229	C₂	#11751289	1	1	yes	characteristic
230	C₂	#11751293	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₃×C₅×#494

C₂

yes

maximal, characteristic

#11751195

C₂

yes

maximal

C₈×Dic₃₀

C₂

yes

maximal, characteristic

#11746368

C₂

yes

maximal

#11746279

C₂

yes

maximal, characteristic

#10602101

—

maximal, Hall

C₂×C₃×C₅×Q₁₆

—

C₂×C₃×C₅×Q₁₆

—

C₃×C₅×C₄⋊Q₈

C₂²

yes

—

C₄×Dic₃₀

C₂²

yes

characteristic

C₃×C₄×C₅×C₈

C₂²

yes

characteristic

#91098

—

C₈×Dic₁₅

—

#91094

—

#91092

—

C₄⋊(C₃⋊#168)

C₂²

yes

—

C₄⋊(C₃⋊#168)

C₂²

yes

—

D₃

yes

characteristic

#65383

—

C₈×Dic₁₀

—

#64767

—

#64678

—

C₂×C₃×C₅×Q₈

—

C₂×Dic₃₀

D₄

yes

characteristic

C₃×C₅×Q₁₆

—

C₃×C₅×Q₁₆

—

C₂×C₃×C₅×C₈

D₄

yes

characteristic

C₂×C₃×C₅×C₈

D₄

yes

characteristic

C₃×C₅×C₄⋊C₄

—

C₃×C₅×C₄⋊C₄

—

C₃×C₄²×C₅

C₂³

yes

characteristic

C₄⋊Dic₁₅

D₄

yes

characteristic

#6712

—

C₄×Dic₁₅

—

C₂×C₃⋊#168

—

C₂×C₃⋊#168

—

C₃×#494

D₅

yes

characteristic

#5094

—

C₈×Dic₆

—

#4547

—

#4458

—

C₂×C₅×Q₁₆

—

C₂×C₅×Q₁₆

—

C₅×C₄⋊Q₈

C₂×D₃

yes

—

C₄×Dic₁₀

—

C₄×C₅×C₈

C₂×D₃

yes

characteristic

#3946

—

C₈×Dic₅

—

—

—

—

—

—

C₃×C₅×Q₈

—

C₃×C₅×Q₈

—

C₂×C₃×C₄×C₅

—

C₂×C₃×C₄×C₅

C₂×D₄

yes

characteristic

C₂×C₃×C₄×C₅

C₂×D₄

yes

characteristic

C₂×C₃×C₄×C₅

#41

yes

characteristic

C₂×Dic₁₅

—

C₂×Dic₁₅

—

Dic₃₀

—

Dic₃₀

Q₁₆

yes

complemented

C₃×C₅×C₈

—

C₃×C₅×C₈

SD₁₆

yes

—

C₃⋊#168

—

C₃⋊#168

—

C₂×C₃×Q₁₆

—

C₂×C₃×Q₁₆

—

C₃×C₄⋊Q₈

C₂×D₅

yes

—

C₄×Dic₆

—

C₃×C₄×C₈

C₂×D₅

yes

characteristic

Dic₃⋊C₈

—

C₈×Dic₃

—

#810

—

#808

—

C₄⋊(C₃⋊C₈)

—

C₄⋊(C₃⋊C₈)

—

C₂×C₅×Q₈

—

C₂×Dic₁₀

—

C₅×Q₁₆

—

C₅×Q₁₆

—

C₂×C₅×C₈

yes

C₂×C₅×C₈

yes

C₅×C₄⋊C₄

—

C₅×C₄⋊C₄

—

C₄²×C₅

C₂²×D₃

yes

characteristic

C₄⋊Dic₅

—

#683

—

C₄×Dic₅

—

C₂×#168

—

C₂×#168

—

#494

D₁₅

yes

characteristic

#475

—

C₈×Q₈

—

#335

—

#332

—

C₂²×C₃×C₅

#121

yes

characteristic

100

C₃×C₄×C₅

—

101

C₃×C₄×C₅

—

102

C₃×C₄×C₅

C₂×SD₁₆

yes

characteristic

103

C₃×C₄×C₅

C₂×Q₁₆

yes

characteristic

104

C₃×C₄×C₅

#135

yes

characteristic

105

C₃×C₄×C₅

AGL(1,ℤ/8)

yes

characteristic

106

Dic₁₅

—

107

Dic₁₅

—

108

C₂×C₃×Q₈

—

109

C₂×Dic₆

—

110

C₃×Q₁₆

—

111

C₃×Q₁₆

—

112

C₂×C₃×C₈

C₂²⋊D₅

yes

characteristic

113

C₂×C₃×C₈

C₂²⋊D₅

yes

characteristic

114

C₃×C₄⋊C₄

—

115

C₃×C₄⋊C₄

—

116

C₃×C₄²

C₂²×D₅

yes

characteristic

117

C₄⋊Dic₃

—

118

Dic₃⋊C₄

—

119

C₄×Dic₃

—

120

C₂×C₃⋊C₈

—

121

C₂×C₃⋊C₈

—

122

C₅×Q₈

—

123

C₅×Q₈

—

124

C₂×C₄×C₅

—

125

C₂×C₄×C₅

D₃×D₄

yes

characteristic

126

C₂×C₄×C₅

#237

yes

characteristic

127

C₂×C₄×C₅

C₂×#67

yes

characteristic

128

C₂×Dic₅

—

129

C₂×Dic₅

—

130

Dic₁₀

—

131

Dic₁₀

—

132

C₅×C₈

—

133

C₅×C₈

#214

yes

—

134

#168

—

135

#168

—

136

C₂×Q₁₆

—

137

C₂×Q₁₆

—

138

C₄⋊Q₈

C₂×D₁₅

yes

—

139

C₄×Q₈

—

140

#106

—

141

C₄⋊C₈

—

142

C₄⋊C₈

—

143

C₄⋊C₈

—

144

#103

—

145

C₄×C₈

—

146

C₄×C₈

C₂×D₁₅

yes

characteristic

147

C₂×C₃×C₅

#460

yes

characteristic

148

C₂×C₃×C₅

#467

yes

characteristic

149

C₂×C₃×C₅

#473

yes

characteristic

150

C₃×Q₈

—

151

C₃×Q₈

—

152

C₂×C₃×C₄

—

153

C₂×C₃×C₄

D₄×D₅

yes

characteristic

154

C₂×C₃×C₄

#711

yes

characteristic

155

C₂×C₃×C₄

C₂×C₂²⋊D₅

yes

characteristic

156

C₂×Dic₃

—

157

C₂×Dic₃

—

158

Dic₆

—

159

Dic₆

—

160

C₃×C₈

—

161

C₃×C₈

#687

yes

—

162

C₃⋊C₈

—

163

C₃⋊C₈

—

164

C₂²×C₅

#938

yes

characteristic

165

C₄×C₅

—

166

C₄×C₅

—

167

C₄×C₅

D₃×Q₁₆

yes

characteristic

168

C₄×C₅

#919

yes

characteristic

169

C₄×C₅

#932

yes

characteristic

170

C₄×C₅

C₂×#214

yes

characteristic

171

Dic₅

—

172

Dic₅

—

173

C₂×Q₈

—

174

C₂×Q₈

—

175

Q₁₆

—

176

Q₁₆

—

177

C₂×C₈

—

178

C₂×C₈

—

179

C₂×C₈

#1220

yes

characteristic

180

C₂×C₈

#1220

yes

characteristic

181

C₄⋊C₄

—

182

C₄⋊C₄

—

183

C₄⋊C₄

—

184

C₄⋊C₄

—

185

C₄²

—

186

C₄²

C₂²×D₁₅

yes

characteristic

187

C₃×C₅

#1670

yes

characteristic, complemented, Hall

188

C₂²×C₃

#4084

yes

characteristic

189

C₃×C₄

—

190

C₃×C₄

—

191

C₃×C₄

D₅×Q₁₆

yes

characteristic

192

C₃×C₄

#4065

yes

characteristic

193

C₃×C₄

#4078

yes

characteristic

194

C₃×C₄

C₂×#687

yes

characteristic

195

Dic₃

—

196

Dic₃

—

197

C₂×C₅

#5075

yes

characteristic

198

C₂×C₅

#5188

yes

characteristic

199

C₂×C₅

#5192

yes

characteristic

200

Q₈

—

201

Q₈

—

202

Q₈

—

203

Q₈

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

D₄×D₁₅

yes

characteristic

208

C₂×C₄

#6819

yes

characteristic

209

C₂×C₄

C₂×#1220

yes

characteristic

210

C₈

—

211

C₈

—

212

C₈

—

213

C₈

#6716

yes

—

214

C₂×C₃

#65364

yes

characteristic

215

C₂×C₃

#65477

yes

characteristic

216

C₂×C₃

#65481

yes

characteristic

217

C₅

#71308

yes

characteristic, complemented, Sylow

218

C₂²

#91827

yes

characteristic

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

Q₁₆×D₁₅

yes

characteristic

224

C₄

#91808

yes

characteristic

225

C₄

#91821

yes

characteristic

226

C₄

C₂×#6716

yes

characteristic

227

C₃

#10602101

yes

characteristic, complemented, Sylow

228

C₂

#11751176

yes

characteristic

229

C₂

#11751289

yes

characteristic

230

C₂

#11751293

yes

characteristic

	subgroup	G/H
center	C₂²	#91827
commutator, cosocle	C₃×C₄²×C₅	C₂³
Frattini	C₄²	C₂²×D₁₅
Fitting	C₃×C₅×#494	C₂
socle, prime radical	C₂²×C₃×C₅	#121
hypercenter	#494	D₁₅
hypocenter	C₃×C₅	#1670
LCS	G ▷ C₃×C₄²×C₅ ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #494

subgroup

G/H

center

C₂²

#91827

commutator, cosocle

C₃×C₄²×C₅

C₂³

Frattini

C₄²

C₂²×D₁₅

Fitting

C₃×C₅×#494

C₂

C₂²×C₃×C₅

D₁₅

C₃×C₅

G ▷ C₃×C₄²×C₅ ▷ C₂²×C₃×C₅ ▷ C₃×C₅

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #494

N	H ≅ G/N	type
64. Dic₃₀	Q₁₆	semidirect
187. C₃×C₅	#1670	semidirect
217. C₅	#71308	semidirect
227. C₃	#10602101	semidirect

H ≅ G/N

type

64. Dic₃₀

Q₁₆

semidirect

187. C₃×C₅

#1670

semidirect

217. C₅

#71308

semidirect

227. C₃

#10602101

semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃×C₅×#494	2
#11751195	2
C₈×Dic₃₀	2
#11746368	2
#11746279	2
#10602101	3
#71308	5

subgroup

index

C₃×C₅×#494

C₈×Dic₃₀

Subgroups — #14291522

Conjugacy classes of subgroups

Complements

Maximal subgroups